I've had a lot of success with games that involve a lot of talking. Settlers of Catan, for example, involves a lot of negotiation and back and forth between players. That's a good opportunity to practice conversational skills. The rules themselves can be a tool for language learning. There are a lot of Magic: the Gathering players in Seoul, including a fair number of native English speakers. The English speakers often play with cards printed in Korean, even if they don't speak much of the language. The cards use a lot of very specific, technical language with reoccurring terminology; the English speaking players tend to pick up on the Korean words for 'tap' and 'attack' after a certain point.